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Finding the Fourth Proportional to 374,186.76, 516,366.19 and 213,064.80

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Solution

The fourth proportional to 374,186.76, 516,366.19 and 213,064.80 is: 294,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,186.76 : 516,366.19 = 213,064.80 : x
  2. Step 2: Convert to fraction form
    374,186.76/516,366.19 = 213,064.80/x
  3. Step 3: Cross multiply
    374,186.76x = 516,366.19 × 213,064.80
  4. Step 4: Simplify right side
    374,186.76x = 110,019,458,999.11
  5. Step 5: Solve for x
    x = 110,019,458,999.11/374,186.76
  6. Step 6: Final answer
    x = 294,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.